String
Theory Seminar
Jerome Gauntlett
March 2 2004
10:30 AM
Chamberline 5280
Abstract
We analyse the most general supersymmetric solutions of D=11
supergravity consisting of a warped product of five-dimensional
anti-de-Sitter space with a six-dimensional Riemannian space M6.
We show that M6 is partly specified by a one-parameter family
of four-dimensional Kahler metrics. We find a large family of new
explicit solutions where M6 is a compact, complex manifold
which is topologically a two-sphere bundle over a four-dimensional
base, where the latter is either (i) Kahler-Einstein with positive
curvature, or (ii) a product of two constant-curvature Riemann
surfaces. Some solutions in the second class are related to a new
family of Sasaki-Einstein metrics on S2 × S3.
These give supersymmetric solutions of type IIB supergravity of the
form AdS5 × S2× S3. All of
the new solutions should be related to new superconformal field
theories via the AdS/CFT correspondence.